The sharp bound of the third Hankel determinant for inverse of convex functions

TL;DR

This paper establishes the optimal upper bound for the third Hankel determinant associated with the inverse of convex functions, advancing the understanding of their geometric properties.

Contribution

It provides the sharpest known upper bound for the third Hankel determinant specifically for the inverse of convex functions.

Findings

Derived the best possible upper bound for the third Hankel determinant

Enhanced understanding of inverse convex functions' geometric properties

Established theoretical limits for Hankel determinants in this class

Abstract

The objective of this paper is to find the best possible upper bound of the third Hankel determinant for the inverse of convex functions.